x intercept 1/3, y intercept -1/4. Write an equation in slope-intercept form for the line that satisfies each set of conditions.

kspcr111 | Student

UsingĀ  the intercept methodĀ  first we will find the intercept form of the line

the intercept form is

`x/a +y/b = 1`

where a and b are the x and y intercepts respectively

as given

x intercept 1/3,

y intercept -1/4

so, a = 1/3 , b = -1/4

so the equation of the line in intercept form is

`x/(1/3) +y/(-1/4) = 1`

=>` 3x- 4y = 1`

=> `-4y = 1-3x`

=> `4y = 3x -1`

=> y = (3/4)x -(1/4) is the slope intercept from